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Two lines are perpendicular if, and only if, they satisfy one the two geometric configurations below:

1. One of them is vertical (slope not defined) and the other is horizontal (slope is zero) 2. Both are oblique (i.e., non-horizontal and non-vertical) and, in this case, the product of their slopes must be -1.

The line given in the question stem is oblique, with slope 1/2, therefore we look for a line with slope -2.

Answer: A

The above follows the notations and rationale taught in the GMATH method.
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Re: Which of the following lines is perpendicular to y=(1/2)x?
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05 Sep 2018, 01:17

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Two lines are perpendicular if and only if the product of their slopes is \(-1\).Since \((\frac{1}{2})*(-2) = -1\), the slope of the line perpendicular to \(y = (\frac{1}{2})x\) is \(-2\).The only answer choice with a slope of \(-2\) is A.